Alg Supp Unit 1 Final Review

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line. Its rate of change is not constant.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What are whole numbers?

Back

Whole numbers are non-negative integers, including zero (0, 1, 2, 3, ...).

Front

What are rational numbers?

Back

Rational numbers are numbers that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

How do you determine if a graph is linear or nonlinear?

Back

A graph is linear if it forms a straight line; it is nonlinear if it curves or has bends.

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is a positive real number, and x is the exponent.

Front

What is the significance of positive rational numbers in functions?

Back

Positive rational numbers are often used in functions that model real-world scenarios, such as population growth or resource consumption, where negative values do not make sense.